11112
110112
101112
110012
Correct answer is B
Convert the binary to base 10 and they convert back to base two
100112 + xxxxx2 + 111002 + 1012 = 10011112
(1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20) + xxxxx2 +(1 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20) + (1 × 22 + 0 × 21 + 1 × 20)
= (16 + 0 + 0 + 2 + 1) + xxxxx2 + (16 + 8 + 4 + 0 + 0 ) + (4 + 0 + 1)
=(64 + 0 + 0 + 8 + 4 + 2 + 1)
19 + xxxxx2 + 33 = 79
xxxxx2 + 52 = 79
xxxxx2 = 79 − 52
xxxxx2 = 2710
\( \begin{array}{c|c}
2 & 27 \\
\hline
2 & 13 \text{ rem 1}\\
2 & 6 \text{ rem 1}\\
2 & 3 \text{ rem 0}\\
2 & 1 \text{ rem 1}\\
& 0 \text{ rem 1}\\
\end{array}\uparrow \)
2710 = 110112
Therefore xxxxx2 = 2710 = 110112
Factorize completely: \(x^2 - (y + z)^2\) ...
Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)...
x 6.20 6.85 7.50 y 3.90 5.20 6.50 The points on a linear graph are as s...
Find p, q for which \(\begin{pmatrix} 2p & 8 \\ 3 & -5q \end{pmatrix}\)\(\begin{pmatrix} 1 \...
In a figure, PQR = 60o, PRS = 90o, RPS = 45o, QR = 8cm. Determine PS...
Simplify \(\frac{3(2^{n+1}) - 4(2^{n-1})}{2^{n+1} - 2^n}\) ...
If √24 + √96 - √600 = y√6, find the value of y ...
Make R the subject of the fomula S = \(\sqrt{\frac{2R + T}{2RT}}\)...