基数間で数値を変換する

问题

ある基数(例:16 進)の数値を、別のツールや文脈で使うために別の基数(例:2 進や 10 進)に変換する必要があります。

前提条件

• 位取り記数法の理解
• 基本的な算術

ステップ

1. 1. Identify the source and target radix

   Determine the base of your input number and the base you need as output. Common radices are 2 (binary), 8 (octal), 10 (decimal), and 16 (hex). The source value must be valid in its claimed base.

   入力

   source: hex 1A | target: binary

   输出

   radices: 16 → 2

2. 2. Convert through decimal or directly

   The simplest method is to first parse the input as a decimal integer, then format that integer in the target base. For direct hex-to-binary, each hex digit maps to 4 bits without intermediate conversion.

   入力

   1A (hex)

   输出

   26 (decimal) → 11010 (binary)

3. 3. Verify the result

   Convert the output back to the original base and confirm it matches the input. Check that no digits in the output exceed the target radix (e.g., no digit 8 in octal).

   入力

   11010 (binary)

   输出

   1A (hex) ✓

期待される結果

同じ数値を目的の基数で表したもの。すべての桁がその基数で有効になります。

よくあるエラー

Using digits invalid for the source base

Hex allows A-F, but binary only allows 0-1. Validate the input before converting.

Losing leading zeros

Leading zeros are significant in fixed-width contexts like byte representations. Pad the output to the required width after conversion.

トラブルシューティング指引

• If the result seems too large or small, double-check the source radix. A hex value read as decimal will be wrong.
• For fractional numbers, note that this tutorial covers integers only; fractional conversion requires separate handling.

セキュリティ上の制限

• Pure arithmetic conversion with no security implications.