Convert each section using the formula b * 2^2 + b * 2^1 + b* 2^0 and you get th
ID: 440794 • Letter: C
Question
Convert each section using the formula b * 2^2 + b * 2^1 + b* 2^0 and you get the octal number 766. Similarly, 2^4 = 16 so to convert a number from binary to hexadecimal all that is necessary is to start at the right of the number, mark off 4 bits, convert those bits to decimal. The resulting number is the hexadecimal equivalent. Take the binary number 10101001. Break it up into sections of 4 bits each: 1010 1001 Convert each section using the formula b * 2^3 + b * 2^2 + b * 2^1 + b* 2^0 and you get the hexadecimal number A9. Convert the following binary numbers to octal: 1000001 = ?10000010 =? 1100010 =? Convert the following binary numbers to hexadecimal: 11100111 =? 01101110 = ? 01111111 = ?Explanation / Answer
binary to octal
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1. 1000001 (001 000 001)
0 * 2^2 + 0 * 2^1 + 1* 2^0 =1
0 * 2^2 + 0 * 2^1 + 0* 2^0 =0 = 101
0 * 2^2 + 0 * 2^1 + 1* 2^0 =1
2. 10000010 (010 000 010)
0 * 2^2 + 1* 2^1 + 0* 2^0 =2
0 * 2^2 + 0 * 2^1 + 0* 2^0 =0 = 202
0 * 2^2 + 1 * 2^1 + 0* 2^0 =2
3. 1100010 (001 100 010)
0 * 2^2 + 1* 2^1 + 0* 2^0 =2
1 * 2^2 + 0 * 2^1 + 0* 2^0 =4 = 142
0 * 2^2 + 0 * 2^1 + 1* 2^0 =1
binary to hexadecimal
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1. 11100111 (1110 0111)
0*2^3+ 1 * 2^2 + 1* 2^1 + 1* 2^0 =7 = E7
1*2^3+ 1 * 2^2 + 1* 2^1 + 0* 2^0 =E
2. 01101110 (0110 1110)
1*2^3+ 1 * 2^2 + 1* 2^1 + 0* 2^0 =E = 6E
0*2^3+ 1 * 2^2 + 1* 2^1 + 0* 2^0 =6
3. 01111111 (0111 1111)
1*2^3+ 1 * 2^2 + 1* 2^1 + 1* 2^0 =F = 7F
0*2^3+ 1 * 2^2 + 1* 2^1 + 1* 2^0 =7