Using the successive division method, what is the binary representation of decimal 45?
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Explanation
<strong>Resumo dos pontos-chave</strong>
<ul>
<li>Divida 45 por 2 repetidamente, anotando os restos.</li>
<li>Os restos, lidos de baixo para cima, formam o número binário.</li>
<li>45 ÷ 2 = 22 resto 1; 22 ÷ 2 = 11 resto 0; 11 ÷ 2 = 5 resto 1; 5 ÷ 2 = 2 resto 1; 2 ÷ 2 = 1 resto 0; 1 ÷ 2 = 0 resto 1.</li>
<li>Lendo os restos de último para o primeiro: 101101₂.</li>
</ul>
<strong>Como lembrar</strong>
<ul>
<li>Mnemônico: “1‑0‑1‑1‑0‑1” soa como “um zero, um, um, zero, um” – imagine um código de luz piscando em sequência.</li>
<li>Dica: Sempre escreva os restos de baixo para cima; se esquecer, pense em “pilha” – o último resto que sai da divisão fica no topo da pilha.</li>
</ul>
2
When converting decimal 78 to binary using the subtraction (powers of two) method, which bits are set to 1?
3
What is the decimal value of the binary number 110011₂?
4
If a byte can represent 256 distinct values, how many distinct values can a 12‑bit word represent?
5
A student applies the division method but stops when the quotient reaches 0 instead of 1. Which error does this produce?
6
Which of the following binary numbers corresponds to the decimal value 0?
7
In the powers‑of‑two method, why is the bit corresponding to 2⁰ set to 0 for the number 20?
8
Which statement correctly describes the relationship between bits and bytes?
9
During conversion of binary 10101₂ to decimal, which positional values are summed?
10
A computer uses a 16‑bit address bus. How many unique memory locations can it address?
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