1/2 1 1= 0 0*2 + 1 Second Step: Concatenate remaindersbottom-up. the 31 Thus the decimal number is translated into the 11111 binary number Hence, 3110 = 111112 the decimal number 99 into binary: First Step: Divide by the integer part the base (2), keep the remainder and after each division. Stop dividing when the integer part reaches zero. Number/base Integer Part Remainder Remark 99/2 1 99=49*2 49 + 1 49/2 1 49=24*2 24 + 1 24/2 0 24= 12 12*2+ 0 12/2 0 12= 6 6*2 + 0 6/2 0 6 3 = 3*2 + 0 3/2 1 3 1 = 1*2 + 1 1/2 1 1 0 = 0*2 + 1 Second Step: Concatenate remaindersbottom-up. the 99 Thus the decimal number is translated into the 1100011 binary number Hence ,9910 = 11000112 Cont’d; Answer to Q4.d: the decimal number 108 into binary: First Step: Divide by the integer part the base (2), keep the remainder and after each division.
1/2 0 1 1= 0*2 + 1 Second Step: Concatenate the remaindersbottom-up. Thus the decimal number 31 is translated into the binary number 11111 Hence, 3110 = 111112 the decimal number 99 into binary: First Step: Divide the integer part by the base (2), and keep the remainder after each division. Stop dividing when the integer part reaches zero. Number/base Integer Part Remainder Remark 99/2 49 1 99=49*2 + 1 49/2 24 1 49=24*2 + 1 24/2 12 0 24= 12*2+ 0 12/2 6 0 12= 6*2 + 0 6/2 3 0 6 = 3*2 + 0 3/2 1 1 3 = 1*2 + 1 1/2 0 1 1 = 0*2 + 1 Second Step: Concatenate the remaindersbottom-up. Thus the decimal number 99 is translated into the binary number 1100011 Hence ,9910 = 11000112 Cont’d; Answer to Q4.d: the decimal number 108 into binary: First Step: Divide the integer part by the base (2), and keep the remainder after each division.
is_201-t3.a.docx