# Electronics - Number Systems and Codes - Discussion

### Discussion :: Number Systems and Codes - General Questions (Q.No.2)

2.

Convert the decimal number 151.75 to binary.

 [A]. 1.00001e+07 [B]. 1.101e+07 [C]. 111100 [D]. 1.00101e+07

Explanation:

No answer description available for this question.

 Aruna said: (Jul 15, 2011) 151/2 in binary =11101001 den 75/2=1101001 here we take only upto two place so d ans is (d)

 Rupa said: (Aug 4, 2011) 151 in binary is 10010111 and .75*2=1.5 so keep 1 aside and multiply 0.5*2=1 So the reminder is .11 So the answer is D..

 Sukumar said: (Mar 21, 2012) The decimal form of 10010111 is 151 and .11 is 0.75 10010111=1*2^7+0+0+1*2^4+0+1*2^2+1*2^1+1*2^0=128+16+4+2+1=151 and .11=1*2^-1+1*2^-2=0.5+0.25=0.75 In this question 1st check the answer and find easily the answer. best of luck.

 Lavanya Ece Mtec said: (Feb 13, 2014) actually we have to do this in decimal to binary means 151 is divided by 75 now binary no is 1 next 75 is divided by 37 binary n0 is 1 upto 1-0 we will do like that so the ans is D.

 Venky said: (Jul 27, 2015) @Lavanya, can you explain the conversion more clearly please?

 Sonu said: (Feb 24, 2016) Convert 151 to hexadecimal (base = 16) first and then the hexadecimal can easily be converted to binary. First divide 151 by 16. Remainder is 7 and quotient is 9. Preserve the remainder (i.e. 7). Divide 9 by 16 (i.e. the quotient by 16). Remainder is 9 and quotient is 0. Preserve the remainder and continue the division until the quotient is 0. So the equivalent hexadecimal no. is (97) base 16. Now make pair of 4 bits for each digit. We know 7 is written as 0111 and 9 as 1001 in binary number system using 4 bits. So the equivalent binary number is (10010111) base 2.

 Sunny said: (Jan 3, 2017) 151 = 10010111. .75 * 2 = 1.50. .50 * 2 = 1.00. i.e lower to upper count no. point before =11. i.e (10010111.11).

 Sunny said: (Jan 3, 2017) 151 = 10010111. .75 * 2 = 1.50. .50 * 2 = 1.00. i.e lower to upper count no. point before =11. i.e (10010111.11).

 Ram Radhakrishnan said: (Mar 25, 2017) 128 64 32 16 8 4 2 1 151:- 1 0 0 1 0 1 1 1 =151. NXT IS DECIMAL VALUE 0.75 * 2 = 1.5. WE WANT TO TAKE ONLY DECIMAL VALUEOF THE ANSWER eqivalent value for 0.75 =0.11. The final answer is 10010111.11.

 Rajan said: (Jun 12, 2017) The system work as below ( x2 increment -- divede 2 decrement). 0.25/2= 0.125 0.5/2 = 0.25 1/2 = 0.5 1 1x2 =2 2x2 = 4 4x2 = 8 8x2 = 16 16x2 = 32 32x2= 64 64x2=128. 128, 64, 32, 16, 8, 4,2,1 ---- 0.5, 0.25, 0.125. So, 1 0 0 1 0 1 1 1 ---- 1 1 = Ans# 10010111.11.

 Binu said: (Aug 7, 2017) 28, 64, 32, 16, 8, 4,2,1 ---- 0.5, 0.25, 0.125. So, 1 0 0 1 0 1 1 1 ---- 1 1 = Ans# 10010111.11. Add 1 to odd numbers, Add 0 to even numbers. 151 (odd)=1,, 151/2=75 (odd)=1, 75/2=37(odd) =1, 37/2=18(even)=0, 18/2=9=1, 9/2=4=0, 4/2=2=0, 2/2=1=1 then in order=10010111.

 Janaki said: (Jul 1, 2019) Not getting this, please anyone explain clearly.